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L-Spline Finite Elements

[+] Author Affiliations
C. C. Richter

Technische Universität Braunschweig

G. R. Heppler

University of Waterloo

Paper No. IMECE2005-81747, pp. 147-156; 10 pages
doi:10.1115/IMECE2005-81747
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Computers and Information in Engineering
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Computers and Information in Engineering Division
  • ISBN: 0-7918-4214-2 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

The L-spline finite element method is applied to the static deflection analysis and linear vibration analysis of curved Euler-Bernoulli and Timoshenko beams. A formal definition of membrane locking is presented along with a simple test that allows a priori determination of an L-spline finite element models susceptibility to locking. Formulations for both types of beam models, that under certain discretizations experience locking are presented. Examples that demonstrate the efficacy of the locking test and illustrate the L-spline finite element method performance are included.

Copyright © 2005 by ASME

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